Interaction Effect between Ellipsoidal Cavities in an Infinite Body under Uniaxial Tension.

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Other Title
  • 回転だ円体状空かの非軸対称一軸引張りにおける干渉効果
  • カイテン ダエンタイジョウ クウカ ノ ヒ ジク タイショウ 1ジク ヒッパリ
Published
1996
Resource Type
journal article
DOI
  • 10.1299/kikaia.62.1051
Publisher
The Japan Society of Mechanical Engineers

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Description

This paper deals with the numerical solution of singular integral equations of the body force method in the interaction problem of ellipsoidal cavities under uniaxial tension. The problem is solved by the superposition of two auxiliary loads : (i) biaxial tension and (ii) plane state of pure shear. These problems are formulated as a system of singular integral equations with Cauchy-type singularities, where the densities of body forces distributed in the γ, θand z directions are unknown functions. In order to satisfy the boundary conditions along the ellipsoidal boundaries, eight kinds of fundamental density functions proposed in our previous paper are applied. The present method is found to yield rapidly converging numerical results for stress distribution along the boundaries.

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